Structure, elastic characteristic, ideal strengths, and phonon stability of binary uranium intermetallic UGe3 of AuCu3-type

No imaginary vibration frequencies can be observed along any high symmetry directions of the Brillouin zone (BZ), confirming that the UGe3 intermetallic compound is dynamically stable.

ON IWASAWA THEORY OF RUBIN–STARK UNITS AND NARROW CLASS GROUPS

Let K be a totally real number field of degree r. Let K∞ denote the cyclotomic -extension of K, and let L∞ be a finite extension of K∞, abelian over K. The goal of this paper is to compare the characteristic ideal of the χ-quotient of the projective limit of the narrow class groups to the χ-quotient of the projective limit of the rth exterior power of totally positive units modulo a subgroup of Rubin–Stark units, for some $\overline{\mathbb{Q}_{2}}$-irreducible characters χ of Gal(L∞/K∞).

Characteristic Ideal Form to Architecture Traditional Makassar with to Humanist Shelter Development in Settlement Bricks Processor at Gowa Resident, South Sulawesi

The ideal form architecture traditional Makassar there is to ideology form, function and architecture mean. Form, function and mean can is known to utilization macro space and micro space at house traditional Makassar. Architecture traditional being culture identity tribes because in there is life society. The society traditional Makassar it is that society still holding long habit by true in daily life. Humanist shelter referring to human needs especially to the occupants, there are human needs that connected with that environment, is sense of security, comfortable, hygienic and economic. The settlement bricks processor at Gowa resident identic with shelter traditional but with growth development in various ways sector than change shelter bricks processor too experiencing good change from at form, function and mean. The settlement bricks processor to Iowa resident at being exactly in Dusun Giring-Giring Kalase Rena village, Bontolangkasa village and Maccini baji village. The change form, function and mean to house/shelter bricks processor than the problem and that found how is ideal form architecture traditional Makassar there is development humanist shelter in settlement risks processor at Gowa resident. This research purpose is element analysis ideal form architecture traditional Makassar that is can to shelter bricks processor at Gowa resident. This research in descriptive explore. The tory character that is done by direct observation to house/shelter bricks processor at Gowa resident. The results of this study that shows ideal form architecture traditional Makassar there is to macro space a house traditional Makassar in settlement bricks processor at Gowa resident. Ideal form to macro space architecturetraditional Makassar there is to house orientation, patterns of home footprint with to utilization as bricks processor at Gowa resident. With utilization macro space at house traditional Makassar can then to form humanist shelter for bricks processor at Gowa resident, South Sulawesi.

Théorie d’Iwasawa des unités de Stark et groupe de classes

Let [Formula: see text] be a number field and let [Formula: see text] be an odd rational prime. Let [Formula: see text] be a [Formula: see text]-extension of [Formula: see text] and let [Formula: see text] be a finite extension of [Formula: see text], abelian over [Formula: see text]. In this paper we extend the classical results, e.g. [16], relating characteristic ideal of the [Formula: see text]-quotient of the projective limit of the ideal class groups to the [Formula: see text]-quotient of the projective limit of units modulo Stark units, in the non-semi-simple case, for some [Formula: see text]-irreductible characters [Formula: see text] of [Formula: see text]. The proof essentially uses the theory of Euler systems.

On completely semisimple Lie algebra bundles

We study semisimple, completely semisimple Lie algebra bundles in terms of characteristic ideal bundles following Seligman. Further decomposition theorem for Lie algebra bundles over any field is proved following Dieudonné.

ON WEIL NUMBERS IN CYCLOTOMIC FIELDS

In this paper, we study the p-adic behavior of Weil numbers in the cyclotomic ℤp-extension of the pth cyclotomic field. We determine the characteristic ideal of the quotient of semi-local units by Weil numbers in terms of the characteristic ideals of some classical modules that appear in the Iwasawa theory. In a recent preprint [9] by Nguyen Quang Do and Nicolas, a generalization of this result to a semi-simple case was obtained.